### Abstract

For the linear σ model with quarks we derive renormalization group flow equations for finite temperature and finite baryon density using the heat kernel cutoff. At zero temperature we evolve the effective potential to the Fermi momentum and compare the solutions of the full evolution equation with those in the mean field approximation. We find a first order phase transition either from a massive constituent quark phase to a mixed phase, where both massive and massless quarks are present, or from a metastable constituent quark phase at low density to a stable massless quark phase at high density. In the latter solution, the formation of droplets of massless quarks is realized even at low density.

Original language | English |
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Article number | 035202 |

Pages (from-to) | 352021-3520212 |

Number of pages | 3168192 |

Journal | Physical Review C - Nuclear Physics |

Volume | 61 |

Issue number | 3 |

Publication status | Published - Mar 2000 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physical Review C - Nuclear Physics*,

*61*(3), 352021-3520212. [035202].